Least Common Multiple (LCM) of 168 and 129
The least common multiple (LCM) of 168 and 129 is 7224.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 168 and 129?
First, calculate the GCD of 168 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 129 = 1 remainder 39 |
| 2 | 129 ÷ 39 = 3 remainder 12 |
| 3 | 39 ÷ 12 = 3 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 190 | 570 |
| 154 and 179 | 27566 |
| 13 and 159 | 2067 |
| 189 and 152 | 28728 |
| 85 and 190 | 3230 |